Volumes for twist link cone-manifolds

dc.creatorDerevnin, Dmitriy
dc.creatorMednykh, Alexander
dc.creatorMulazzani, Michele
dc.date2003-07-14
dc.date2004-03-04
dc.date.accessioned2026-07-07T04:59:39Z
dc.date.available2026-07-07T04:59:39Z
dc.descriptionRecently, the explicit volume formulae for hyperbolic cone-manifolds, whose underlying space is the 3-sphere and the singular set is the knot $4_1$ and the links $5^2_1$ and $6^2_2$, have been obtained by the second named author and his collaborators. In this paper we explicitly find the hyperbolic volume for cone-manifolds with the link $6^2_3$ as singular set. Trigonometric identities (Tangent, Sine and Cosine Rules) between complex lengths of singular components and cone angles are obtained for an infinite family of two-bridge links containing $5^2_1$ and $6^2_3$.
dc.description23 pages, 1 figure. Revised version with minor changes. Accepted for publication in the Boletin de la Sociedad Matematica Mexicana, special issue in honor of Francisco "FICO" Gonzales Acuna
dc.identifierhttps://arxiv.org/abs/math/0307193
dc.identifierhttp://arxiv.org/abs/math/0307193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68071
dc.subjectGeometric Topology
dc.subject57M50; 57M25
dc.titleVolumes for twist link cone-manifolds
dc.typetext

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